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Finding the Fourth Proportional to 38,006.42, 56,978.64 and 15,836.31

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Solution

The fourth proportional to 38,006.42, 56,978.64 and 15,836.31 is: 23,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.42 : 56,978.64 = 15,836.31 : x
  2. Step 2: Convert to fraction form
    38,006.42/56,978.64 = 15,836.31/x
  3. Step 3: Cross multiply
    38,006.42x = 56,978.64 × 15,836.31
  4. Step 4: Simplify right side
    38,006.42x = 902,331,406.42
  5. Step 5: Solve for x
    x = 902,331,406.42/38,006.42
  6. Step 6: Final answer
    x = 23,741.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.